What is the slope of the line that passes through (–1, 7) and (3, –4)?

To find the slope of a line that passes through the points ((-1, 7)) and ( (3, -4)), we use the formula for slope ( m ):

[

m = frac{y_2 – y_1}{x_2 – x_1}

]

Here, ((x_1, y_1) = (-1, 7)) and ((x_2, y_2) = (3, -4)). Now, substitute the values:

[

m = frac{-4 – 7}{3 – (-1)} = frac{-11}{3 + 1} = frac{-11}{4}

]

So, the slope of the line is (-frac{11}{4}). However, from the provided options, it seems there might be a need to further check if you’re looking for a positive or negative interpretation of other options; if guesswork is involved, please refer to options given

None of the provided options match (-frac{11}{4}), so it might be helpful to double-check the list you’ve shared or consider whether there could be a typographical error in options.

To clarify:

The correct calculation gives us the slope as (-frac{11}{4}) which is not in the answer set. For further questions or clarifications, you can check the extended services page.